What is factor (a+b)^2-3(a+b)-10 ?

The solution to factor (a+b)^2-3(a+b)-10 is (a+b+2)(a+b-5)

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factor (a+b)^2-3(a+b)-10

factor

(a + b)^{2} - 3 (a + b) - 10

(a + b + 2) (a + b - 5)

Solution steps

(a + b)^{2} - 3 (a + b) - 10

Break the expression into groups

= ((a + b)^{2} + 2 (a + b)) + (- 5 (a + b) - 10)

Factor out

(a + b)

from

(a + b)^{2} + 2 (a + b) : (a + b) ((a + b) + 2)

Factor out

- 5

from

- 5 (a + b) - 10 : - 5 ((a + b) + 2)

= (a + b) ((a + b) + 2) - 5 ((a + b) + 2)

Factor out common term

(a + b) + 2

= ((a + b) + 2) ((a + b) - 5)

Refine

= (a + b + 2) (a + b - 5)

10 a c + 2 a d - 15 b c - 3 b d

2 cos^{2} (θ) - 7 cos (θ) + 3

x^{2} - \frac{61}{26} x - 1

a e^{b} x + c

\frac{d}{d t} ((z (t)) (t^{3}))

What is factor (a+b)^2-3(a+b)-10 ?
The solution to factor (a+b)^2-3(a+b)-10 is (a+b+2)(a+b-5)